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Finding the Fourth Proportional to 5,884.60, 8,824.05 and 3,420.13

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Solution

The fourth proportional to 5,884.60, 8,824.05 and 3,420.13 is: 5,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.60 : 8,824.05 = 3,420.13 : x
  2. Step 2: Convert to fraction form
    5,884.60/8,824.05 = 3,420.13/x
  3. Step 3: Cross multiply
    5,884.60x = 8,824.05 × 3,420.13
  4. Step 4: Simplify right side
    5,884.60x = 30,179,398.13
  5. Step 5: Solve for x
    x = 30,179,398.13/5,884.60
  6. Step 6: Final answer
    x = 5,128.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.